Comparison of alternative improved perturbative methods for nonlinear oscillations
arXiv:math-ph/0412060 · doi:10.1016/j.physleta.2005.04.004
Abstract
We discuss and compare two alternative perturbation approaches for the calculation of the period of nonlinear systems based on the Lindstedt--Poincaré technique. As illustrative examples we choose one--dimensional anharmonic oscillators and the Van der Pol equation. Our results show that each approach is better for just one type of model considered here.
15 pages, 5 figures